729054216 has 128 divisors (see below), whose sum is σ = 2269238400. Its totient is φ = 214928640.

The previous prime is 729054173. The next prime is 729054217. The reversal of 729054216 is 612450927.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (729054217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83766 + ... + 92058.

It is an arithmetic number, because the mean of its divisors is an integer number (17728425).

Almost surely, 2^729054216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729054216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134619200).

729054216 is an abundant number, since it is smaller than the sum of its proper divisors (1540184184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

729054216 is a wasteful number, since it uses less digits than its factorization.

729054216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8356 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 729054216 is about 27001.0039813337. The cubic root of 729054216 is about 900.0223105580.

The spelling of 729054216 in words is "seven hundred twenty-nine million, fifty-four thousand, two hundred sixteen".